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author:

Gong, X. (Gong, X..) [1] | Xie, X. (Xie, X..) [2]

Indexed by:

Scopus

Abstract:

A Lotka-Volterra predator-prey model incorporating a constant number of prey refuge and feedback controls is studied in this paper. By constructing suitable Lyapunov functions, sufficient conditions which ensure the global stability of the positive equilibrium and boundary equilibriums are obtained, respectively. Numerical simulations are also presented to illustrate the feasibility of the main results. © 2017 Journal of Nonlinear Functional Analysis.

Keyword:

Equilibrium; Feedback control; Global stability; Lyapunov function

Community:

  • [ 1 ] [Gong, X.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian, 350108, China
  • [ 2 ] [Xie, X.]Department of Mathematics, Ningde Normal University, Ningde, Fujian, 352100, China

Reprint 's Address:

  • [Xie, X.]Department of Mathematics, Ningde Normal UniversityChina

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Source :

Journal of Nonlinear Functional Analysis

ISSN: 2052-532X

Year: 2017

Volume: 2017

1 . 1 0 0

JCR@2023

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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